10001221012211 has 16 divisors (see below), whose sum is σ = 11752677387360. Its totient is φ = 8390496472320.

The previous prime is 10001221012201. The next prime is 10001221012231. The reversal of 10001221012211 is 11221012210001.

It is a cyclic number.

It is not a de Polignac number, because 10001221012211 - 2¹⁸ = 10001220750067 is a prime.

It is a super-2 number, since 2×10001221012211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001221012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8338460 + ... + 9462153.

It is an arithmetic number, because the mean of its divisors is an integer number (734542336710).

Almost surely, 2^{10001221012211} is an apocalyptic number.

10001221012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001221012211 is a deficient number, since it is larger than the sum of its proper divisors (1751456375149).

10001221012211 is a wasteful number, since it uses less digits than its factorization.

10001221012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17804566.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001221012211 its reverse (11221012210001), we get a palindrome (21222233222212).

The spelling of 10001221012211 in words is "ten trillion, one billion, two hundred twenty-one million, twelve thousand, two hundred eleven".